What is the quotient of −5/9÷1/5? Write the answer as a mixed number

1 answer

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 1/5 is 5/1.

So, we have:

-5/9 ÷ 1/5

= -5/9 × 5/1

= (-5 × 5)/(9 × 1)

= -25/9

The quotient of -5/9 ÷ 1/5 is -25/9.

To write this as a mixed number, we divide 25 by 9. The quotient is 2 with a remainder of 7.

So, the mixed number is 2 and 7/9.